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Hypergeometric functions

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• Transcendental functions

• Hypergeometric series

• Hypergeometric functions -- Tables
• Coulomb functions
• Hypergeometric distribution
• Weber functions

• Functions, Hypergeometric

• Ueber die hypergeometrische Function. Vorlesung, gehalten im Wintersemester 1893/94,. (Göttingen, 1894), by Felix Klein and E. Ritter (page images at HathiTrust)
• Reductions of the hypergeometric functions (Los Angeles, 1956), by Ramo-Wooldridge Corporation and John T. Robacker (page images at HathiTrust)
• Rational approximations to a class of G-functions. (Aerospace Research Laboratories, Office of Aerospace Research, United States Air Force, 1969), by Jerry L. Fields (page images at HathiTrust)
• Generalized hypergeometric series (Asia Pub. House, 1963), by R. P. Agarwal (page images at HathiTrust)
• Hypergeometriese funkties, theorie en meest toe te passen eigenschappen ... (P. Noordhoff, 1927), by Anthonius Geertienus Ploeg (page images at HathiTrust)
• The hypergeometric and Legendre functions with applications to integral equations of potential theory (National Bureau of Standards, 1942), by Chester Snow and United States. National Bureau of Standards (page images at HathiTrust)
• Hypergeometric and Legendre functions with applications to integral equations of potential theory. (U. S. Govt. Print. Off., 1952), by Chester Snow (page images at HathiTrust)
• Tables of the confluent hypergeometric function F(n/2, 1/2; x) and related functions. (U. S. Govt. Print. Off., 1949), by United States. National Bureau of Standards. Computation Laboratory (page images at HathiTrust; US access only)
• Sur les fonctions hypergéométriques d'order supérieur (Académie royale de Belgique, 1897), by J. Beaupain (page images at HathiTrust)
• Über die hypergeometrische Funktion. Vorlesung, gehalten im Wintersemester 1893-94. (Teubner, 1906), by Felix Klein (page images at HathiTrust)
• Fonctions hypergéométriques et hypersphériques : polynomes d'Hermite (Gauthier-Villars, 1926), by Paul Appell and Joseph Kampé de Fériet (page images at HathiTrust)
• Allgemeine Untersuchungen über die unendliche Reihe 1+[mathematical formula]+u.s.w. (J. Springer, 1888), by Carl Friedrich Gauss and Heinrich Simon (page images at HathiTrust)
• Historisch-kritische untersuchung über die theorie der hypergeometrischen reihe bis zu den entdeckungen von E.E. Kummer ... (Buchdruckerei Richter & Good, 1901), by Lucius Jecklin (page images at HathiTrust; US access only)
• Der logarithmische grenzfall der hypergeometrischen differentialgleichung n-ordnung ... (Lipsius & Tischer, 1889), by August Michaelsen (page images at HathiTrust)
• Om en klasse bestemte integraler og nogle derved definerede semi-periodiske funktioner. (J. Møller, 1895), by Niels Nielsen (page images at HathiTrust)
• Über lineare relationen zwischen hypergeometrischen integralen ... (Druck von B.G. Teubner, 1907), by Leo Alterauge (page images at HathiTrust)
• Allgemeine Untersuchungen über die unendliche Reihe [mathematical equation] (Julius Springer, 1888), by Carl Friedrich Gauss and Heinrich Simon (page images at HathiTrust)
• A formula for determining sample size in hypergeometric sampling when zero defectives are observed in the sample (Sandia Corporation ;, 1959), by D. A Young, George Powell Steck, E. J. Gilbert, D. B. Owen, and Sandia Corporation (page images at HathiTrust)
• Tables of the function e [superscript -αz / γ] M(α;γ;z). (Massachusetts Institute of Technology, Research Laboratory of Electronics, 1949), by A. D. McDonald (page images at HathiTrust)
• Addition theorems for the functions of the paraboloid of revolution (Washington D. C. : Office of Scientific Research, U.S. Air Force, 19XX., 1956), by Harry Hochstadt, New York University. Institute of Mathematical Sciences, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Some properties of univalent s-fractions (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1960., 1958), by E. P. Merkes and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• On the functions of the parabolic cylinder (Washington D. C. : Office of Scientific Research, U.S. Air Force, 1956., 1956), by David I. Epstein, New York University, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Expansion of the Gaussian hypergeometric function in series of functions of the same kind (Washington D. C. : Mathematics Division, Office of Scientific Research, U.S. Air Force, 1959., 1959), by Richard L. Coleman, Yudell L. Luke, United States. Air Force. Office of Scientific Research, and Mo.) Midwest Research Institute (Kansas City (page images at HathiTrust)
• Expansion of the confluent hypergeometric function in series of Bessel functions (Washington, D.C. : United States Air Force, Office of Scientific Research, Mathematics Division, 1958., 1959), by Yudell L. Luke, United States. Air Force. Office of Scientific Research, and Mo.) Midwest Research Institute (Kansas City (page images at HathiTrust)
• Untersuchungen über die algebraische Transformationen der hypergeometrischen Funktionen (Teubner, 1886), by Erwin Papperitz (page images at HathiTrust)

• Table of ₂F₁ (a, b;c;z) for a = 0(1/2)7, b = 0(1/2)7, and c = 0(1/2)5.2 with comments on closed forms of ₂F₁ (a, b;c;z). (National Aeronautics and Space Administration, 1963), by K. David Steidley (page images at HathiTrust)

• Tables of nonrelativistic Coulomb wave-functions. ([Los Alamos? N.M., 1958), by Arnold Tubis (page images at HathiTrust; US access only)
• Tables of the regular and logarithmic Coulomb wave functions and tables of Arg [reproduction of function] (Antenna Laboratory, Dept. of Electrical Engineering, The Ohio State University Research Foundation, 1963), by R. Devore and Shen Lin (page images at HathiTrust; US access only)

• Tables of Coulomb wave functions. (U.S. Govt. Print. Off., 1952), by United States. National Bureau of Standards (page images at HathiTrust)
• Technical report on tables for the calculation of Coulomb wave functions. (Cambridge, Mass., 1955), by Frank S. Ham (page images at HathiTrust)
• Asymptotic forms of Coulomb wave functions, II (Dept. of Mathematics, California Institute of Technology, 1955), by Arthur Erdélyi and C.A. Swanson (page images at HathiTrust)
• Tables of two-center coulomb integrals between 1s, 2s, and 2p orbitals; special technical report, 1955. ([Chicago?, 1955), by C. C. J. Roothaan and University of Chicago. Laboratory of Molecular Structure and Spectra (page images at HathiTrust; US access only)
• Multiple nucleon knockout by Coulomb dissociation in relativistic heavy-ion collisions (National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988), by Francis A. Cucinotta, Lawrence W. Townsend, John W. Norbury, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Division (page images at HathiTrust)
• Coulomb corrections to the Bethe-Heitler cross sections for electron-nucleus bremsstrahlung (National Aeronautics and Space Administration; [for sale by the Clearinghouse for Federal Scientific and Technical Information, Springfield, Va.], 1970), by Samuel Harold Morgan (page images at HathiTrust; US access only)
• NASA TN D-5987 (National Aeronautics and Space Administration ;, 1970), by Lawrence P. Shomo, Langley Research Center, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• A tabulation of the radial Coulomb integrals (m,n,l) (Los Alamos Scientific Laboratory of the University of California, 1957), by M. Goldstein, L. C. Biedenharn, Roy M. Thaler, U.S. Atomic Energy Commission, and Los Alamos Scientific Laboratory (page images at HathiTrust)
• Tables of nonrelativistic Coulomb wave functions (Los Alamos Scientific Laboratory of the University of California, 1957), by Arnold Tubis, U.S. Atomic Energy Commission, and Los Alamos Scientific Laboratory (page images at HathiTrust)
• Neutron Physics Division. (Oak Ridge National Laboratory, 1968), by Hugo W. Bertini, Oak Ridge National Laboratory, and U.S. Atomic Energy Commission (page images at HathiTrust)
• Coulomb wave functions (Los Alamos Scientific Laboratory, 1962), by Johan G. F. Belinfante, U.S. Atomic Energy Commission, and Los Alamos Scientific Laboratory (page images at HathiTrust)
• On the theory of plastic flow of Coulomb solids (University of Utah, 1959), by Andrew W. Jenike and R. T. Shield (page images at HathiTrust; US access only)
• Area analysis for self-indication data (Schenectady, New York : Knolls Atomic Power Laboratory, 1953., 1953), by J. P. Simpelaar, Knolls Atomic Power Laboratory, General Electric Company, and U.S. Atomic Energy Commission (page images at HathiTrust)
• Coulomb excitation (Duke University, 1963), by L. C. Biedenharn and P. J. Brussaard (page images at HathiTrust; US access only)
• Theory of multiple Coulomb scattering from extended nuclei (Irvington-on-Hudson, New York : Nevis Cyclotron Laboratories, Columbia University, Department of Physics, 1954., 1954), by Leon N. Cooper, James Rainwater, Columbia University. Department of Physics, Nevis Laboratories, and U.S. Atomic Energy Commission (page images at HathiTrust)
• Expansions for products of two Whittaker functions ([Washington, D.C.] : [United States Air Force, Office of Scientific Research], 1957., 1957), by F. M. Ragab, United States. Air Force. Office of Scientific Research, and New York University. Institute of Mathematical Sciences (page images at HathiTrust)
• Some formulas for the products of E-functions and Whittaker functions ([Washington, D.C.] : [United States Air Force, Office of Scientific Research], [1957], 1957), by F. M. Ragab, United States. Air Force. Office of Scientific Research, and New York University. Institute of Mathematical Sciences (page images at HathiTrust)
• Three families of integrals which arise in some three-body problems (L. G. Hansom Field, Bedford, Massachusetts : Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, 1967., 1967), by John R. Jasperse and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)

• Some Properties of the Hypergeometric Distribution With Applications to Zoological Sample Censuses (UC Publications in Statistics, v. 1 #7; Berkeley and Los Angeles: University of California Press, 1951), by D. G. Chapman (page images at HathiTrust)
• Attribute sampling inspection procedure based on the hypergeometric distribution (U.S. Atomic Energy Commission, 1972), by Theodore S. Sherr and U.S. Atomic Energy Commission (page images at HathiTrust)

• NASA TN D-3833 (National Aeronautics and Space Administration :, 1967), by Antra Priede, Gabriel Allen, and United States National Aeronautics and Space Administration (page images at HathiTrust)

Items below (if any) are from related and broader terms.

• Expansion of the Gaussian hypergeometric function in series of functions of the same kind (Washington D. C. : Mathematics Division, Office of Scientific Research, U.S. Air Force, 1959., 1959), by Richard L. Coleman, Yudell L. Luke, United States. Air Force. Office of Scientific Research, and Mo.) Midwest Research Institute (Kansas City (page images at HathiTrust)
• Über einen zahlentheoretischen Satz und seine Anwendung auf die hypergeometrische Reihe (C. Winter, 1911), by Edmund Landau (page images at HathiTrust)

More items available under broader and related terms at left.